List of top Questions asked in AP EAPCET- 2022

The value of \[ \tan\left(\frac{7\pi}{8}\right) \] is

In a triangle \(ABC\), \[ 2(bc\cos A+ac\cos B+ab\cos C)= \]

A natural number \(n\) such that \(n!\) ends in exactly \(1000\) zeros is

If the difference between the roots of \[ x^2+ax+b=0 \] and that of the roots of \[ x^2+bx+a=0 \] is same and \(a\neq b\), then

For what values of \(a \in \mathbb{Z}\), the quadratic expression \[ (x+a)(x+1991)+1 \] can be factorised as \[ (x+b)(x+c), \] where \(b,c \in \mathbb{Z}\)?

If a set \(A\) has \(m\)-elements and the set \(B\) has \(n\)-elements, then the number of injections from \(A\) to \(B\) is

In how many ways can the letters of the word “MULTIPLE” be arranged keeping the position of the vowels fixed?

The least value of \(n\) so that \[ {}^{\,n-1}C_3+{}^{\,n-1}C_4\gt {}^{\,n}C_3 \] is

If \[ e^{i\theta}=\operatorname{cis}\theta, \] then \[ \sum_{n=0}^{\infty}\frac{\cos(n\theta)}{2^n} = \]

A true statement among the following identities is

If \[ f(f(0))=0, \] where \[ f(x)=x^2+ax+b,\qquad b\neq0, \] then \(a+b=\)

The sum of the real roots of the equation \[ |x-2|^2+|x-2|-2=0 \] is

If \(a,b,c\) are respectively the \(5^{th}, 8^{th}, 13^{th}\) terms of an arithmetic progression, then \[ \begin{vmatrix} a & 5 & 1\\ b & 8 & 1\\ c & 13 & 1 \end{vmatrix} = \]

Let \[ A= \begin{bmatrix} -2 & x & 1\\ x & 1 & 1\\ 2 & 3 & -1 \end{bmatrix} \] If the roots of the equation \[ \det(A)=0 \] are \(l,m\), then \[ l^3-m^3= \]

If \[ A= \begin{bmatrix} 1 & 0 & 0\\ a & -1 & 0\\ b & c & 1 \end{bmatrix} \] is such that \[ A^2=I, \] then

If \[ \sum_{k=0}^{440} i^k=x+iy, \] then \[ x^{100}+x^{99}y+x^{242}y^2+x^{97}y^3= \]

Multiplicative inverse of the complex number \[ (\sin\theta,\cos\theta) \] is

The set \[ \left\{x \in \mathbb{R} \,/\, \frac{\sqrt{|x|^2-2|x|-8}} {\log(2-x-x^2)} \text{ is a real number} \right\} \] is equal to:

If \[ A=\begin{bmatrix} 2 & -3\\ -4 & 1 \end{bmatrix}, \] then \[ (A^T)^2+(12A)^T= \]

The domain of the real valued function \[ f(x)=\sin\left(\log\left(\frac{\sqrt{4-x^2}}{1-x}\right)\right) \] is:

Which of the following is correct?

Which of the following statements is incorrect?
Statements:
(i) Colour blindness is an example of multiple allelism
(ii) Multiple alleles cannot be observed in the genotype of a diploid individual
(iii) Multiple alleles can be observed in the genotype of a population
(iv) Multiple alleles are represented by the inheritance of blood groups

The term genetics was coined by:

GIFT stands for:

Which of the following is known as white body?